Inner Surface Temperature of Plane Wall Calculator

✖Outer Surface Temperature is the temperature at the outer surface of the wall either plane wall or cylindrical wall or spherical wall, etc.ⓘ Outer Surface Temperature [T_o]			+10% -10%
✖Heat Flow Rate is the amount of heat that is transferred per unit of time in some material, usually measured in watt. Heat is the flow of thermal energy driven by thermal non-equilibrium.ⓘ Heat Flow Rate [Q]			+10% -10%
✖Length is the measurement or extent of something from end to end.ⓘ Length [L]			+10% -10%
✖Thermal Conductivity is rate of heat passes through specified material, expressed as amount of heat flows per unit time through a unit area with a temperature gradient of one degree per unit distance.ⓘ Thermal Conductivity [k]			+10% -10%
✖Area of Wall refers to the surface area of the wall, which is the total amount of space that it occupies. It is typically measured in square units such as square feet or square meters.ⓘ Area of Wall [A_wall]			+10% -10%

✖Inner Surface Temperature is the temperature at the inner surface of the wall (either plane wall or cylindrical wall or spherical wall, etc).ⓘ Inner Surface Temperature of Plane Wall [T_i]

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Formula

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Inner Surface Temperature of Plane Wall

Formula

`"T"_{"i"} = "T"_{"o"}+("Q"*"L")/("k"*"A"_{"wall"})`

Example

`"400.75K"="400K"+("125W"*"3m")/("10W/(m*K)"*"50m²")`

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Download Conduction in Plane Wall Formulas PDF

Inner Surface Temperature of Plane Wall Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inner Surface Temperature = Outer Surface Temperature+(Heat Flow Rate*Length)/(Thermal Conductivity*Area of Wall)
T_i = T_o+(Q*L)/(k*A_wall)
This formula uses 6 Variables

Variables Used

Inner Surface Temperature - (Measured in Kelvin) - Inner Surface Temperature is the temperature at the inner surface of the wall (either plane wall or cylindrical wall or spherical wall, etc).
Outer Surface Temperature - (Measured in Kelvin) - Outer Surface Temperature is the temperature at the outer surface of the wall either plane wall or cylindrical wall or spherical wall, etc.
Heat Flow Rate - (Measured in Watt) - Heat Flow Rate is the amount of heat that is transferred per unit of time in some material, usually measured in watt. Heat is the flow of thermal energy driven by thermal non-equilibrium.
Length - (Measured in Meter) - Length is the measurement or extent of something from end to end.
Thermal Conductivity - (Measured in Watt per Meter per K) - Thermal Conductivity is rate of heat passes through specified material, expressed as amount of heat flows per unit time through a unit area with a temperature gradient of one degree per unit distance.
Area of Wall - (Measured in Square Meter) - Area of Wall refers to the surface area of the wall, which is the total amount of space that it occupies. It is typically measured in square units such as square feet or square meters.

STEP 1: Convert Input(s) to Base Unit

Outer Surface Temperature: 400 Kelvin --> 400 Kelvin No Conversion Required
Heat Flow Rate: 125 Watt --> 125 Watt No Conversion Required
Length: 3 Meter --> 3 Meter No Conversion Required
Thermal Conductivity: 10 Watt per Meter per K --> 10 Watt per Meter per K No Conversion Required
Area of Wall: 50 Square Meter --> 50 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_i = T_o+(Q*L)/(k*A_wall) --> 400+(125*3)/(10*50)

Evaluating ... ...

T_i = 400.75

STEP 3: Convert Result to Output's Unit

400.75 Kelvin --> No Conversion Required

FINAL ANSWER

400.75 Kelvin <-- Inner Surface Temperature

(Calculation completed in 00.004 seconds)

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Credits

Created by Sai Venkata Phanindra Chary Arendra

Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad

Sai Venkata Phanindra Chary Arendra has created this Calculator and 100+ more calculators!

Verified by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

Maiarutselvan V has verified this Calculator and 300+ more calculators!

< 8 Conduction in Plane Wall Calculators

Total Thermal Resistance of Plane Wall with Convection on Both Sides

Go Thermal Resistance with Convection = 1/(Inside Convection*Area of Wall)+Length/(Thermal Conductivity*Area of Wall)+1/(External Convection*Area of Wall)

Temperature at Distance x from Inner Surface in Wall

Go Temperature = Inner Surface Temperature-Distance from Inner Surface/Length*(Inner Surface Temperature-Outer Surface Temperature)

Thermal Conductivity of Material Required to Maintain Given Temperature Difference

Go Thermal Conductivity = (Heat Flow Rate*Length)/((Inner Surface Temperature-Outer Surface Temperature)*Area of Wall)

Area of Plane Wall Required for Given Temperature Difference

Go Area of Wall = (Heat Flow Rate*Length)/(Thermal Conductivity*(Inner Surface Temperature-Outer Surface Temperature))

Outer Surface Temperature of Wall in Conduction through Wall

Go Outer Surface Temperature = Inner Surface Temperature-(Heat Flow Rate*Length)/(Thermal Conductivity*Area of Wall)

Thickness of Plane Wall for Conduction through Wall

Go Length = ((Inner Surface Temperature-Outer Surface Temperature)*Thermal Conductivity*Area of Wall)/Heat Flow Rate

Inner Surface Temperature of Plane Wall

Go Inner Surface Temperature = Outer Surface Temperature+(Heat Flow Rate*Length)/(Thermal Conductivity*Area of Wall)

Thermal Resistance of Wall

Go Thermal Resistance = Length/(Thermal Conductivity*Cross-Sectional Area)

Inner Surface Temperature of Plane Wall Formula

Inner Surface Temperature = Outer Surface Temperature+(Heat Flow Rate*Length)/(Thermal Conductivity*Area of Wall)
T_i = T_o+(Q*L)/(k*A_wall)

What is heat flow rate?

The rate of heat flow is the amount of heat that is transferred per unit of time in some material, usually measured in watt. Heat is the flow of thermal energy driven by thermal non-equilibrium.

How to Calculate Inner Surface Temperature of Plane Wall?

Inner Surface Temperature of Plane Wall calculator uses Inner Surface Temperature = Outer Surface Temperature+(Heat Flow Rate*Length)/(Thermal Conductivity*Area of Wall) to calculate the Inner Surface Temperature, The Inner Surface Temperature of Plane Wall formula is defined as the temperature at the inner surface of the plane wall when heat flow rate, outer surface temperature, length/thickness of the wall along the heat flow direction, area of the wall perpendicular to the heat flow are known. Inner Surface Temperature is denoted by T_i symbol.

How to calculate Inner Surface Temperature of Plane Wall using this online calculator? To use this online calculator for Inner Surface Temperature of Plane Wall, enter Outer Surface Temperature (T_o), Heat Flow Rate (Q), Length (L), Thermal Conductivity (k) & Area of Wall (A_wall) and hit the calculate button. Here is how the Inner Surface Temperature of Plane Wall calculation can be explained with given input values -> 400.75 = 400+(125*3)/(10*50).

FAQ

What is Inner Surface Temperature of Plane Wall?

The Inner Surface Temperature of Plane Wall formula is defined as the temperature at the inner surface of the plane wall when heat flow rate, outer surface temperature, length/thickness of the wall along the heat flow direction, area of the wall perpendicular to the heat flow are known and is represented as T_i = T_o+(Q*L)/(k*A_wall) or Inner Surface Temperature = Outer Surface Temperature+(Heat Flow Rate*Length)/(Thermal Conductivity*Area of Wall). Outer Surface Temperature is the temperature at the outer surface of the wall either plane wall or cylindrical wall or spherical wall, etc, Heat Flow Rate is the amount of heat that is transferred per unit of time in some material, usually measured in watt. Heat is the flow of thermal energy driven by thermal non-equilibrium, Length is the measurement or extent of something from end to end, Thermal Conductivity is rate of heat passes through specified material, expressed as amount of heat flows per unit time through a unit area with a temperature gradient of one degree per unit distance & Area of Wall refers to the surface area of the wall, which is the total amount of space that it occupies. It is typically measured in square units such as square feet or square meters.

How to calculate Inner Surface Temperature of Plane Wall?

The Inner Surface Temperature of Plane Wall formula is defined as the temperature at the inner surface of the plane wall when heat flow rate, outer surface temperature, length/thickness of the wall along the heat flow direction, area of the wall perpendicular to the heat flow are known is calculated using Inner Surface Temperature = Outer Surface Temperature+(Heat Flow Rate*Length)/(Thermal Conductivity*Area of Wall). To calculate Inner Surface Temperature of Plane Wall, you need Outer Surface Temperature (T_o), Heat Flow Rate (Q), Length (L), Thermal Conductivity (k) & Area of Wall (A_wall). With our tool, you need to enter the respective value for Outer Surface Temperature, Heat Flow Rate, Length, Thermal Conductivity & Area of Wall and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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